Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110g |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
239130454079137500 = 22 · 318 · 55 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-760808,-254400694] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:1267:1] |
Generators of the group modulo torsion |
j |
48702146574629154745081/239130454079137500 |
j-invariant |
L |
4.4230347550315 |
L(r)(E,1)/r! |
Ω |
0.16169969459485 |
Real period |
R |
0.30392655183794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bn2 110550bh2 |
Quadratic twists by: -3 5 |